Transformed objects | Maths | Quizalize & Oak National Academy

Starter quiz

The ______ is the starting figure, before a transformation has been applied.
- 'object' ✓
Which transformation changes the sense of an object?
- translation
- reflection ✓
- rotation
- enlargement
When describing a rotation, you must state three things: the centre of rotation, the amount of turn and the ______.
- 'direction of rotation' ✓
"When an object is enlarged, the image will always end up further away from the centre of enlargement." Select true or false and a justifying statement.
- True
- False ✓
- you need to count the enlarged length from the centre of enlargement
- if the scale factor is between 0 and 1 lengths reduce. e.g. scale factor = 1/2 ✓
A transformation has taken place in this diagram. Select all of the invariant properties.
- lengths ✓
- angles ✓
- position
- orientation
- sense
Complete the descriptions below by matching the transformation with the detail needed to describe it fully.
- A rotation
  
  ⇔
  
  by ${270^{\circ}}$ clockwise about (3,4). ✓
- A reflection
  
  ⇔
  
  in the x-axis. ✓
- A translation
  
  ⇔
  
  by ${-4 \choose 2}$ ✓
- An enlargement
  
  ⇔
  
  by scale factor 3 from (0, 0) ✓

Which transformation does this property table belong to?
- translation ✓
- reflection
- rotation
- enlargement
Select the diagrams that could have been a rotation.
The line of reflection is ______ from both the object and image.
- 'equidistant' ✓
What transformation has occurred?
- 'reflection' ✓
The object has been rotated about the point O, through __________.
- ${90^{\circ}}$ clockwise ✓
- ${90^{\circ}}$ anti-clockwise
- ${270^{\circ}}$ anti-clockwise ✓
- ${270^{\circ}}$ clockwise
Choose the correct description for this transformation.
- An enlargement from point O by scale factor 3. ✓
- An enlargement from point O by scale factor ${1} \over {3}$ .

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There are clues that can be looked for to determine if a shape has been transformed.
If the size has changed, one shape may be an enlargement of the other.
If the orientation has changed, one shape may be a rotation of the other.
If the shapes are mirrored, one shape may be a reflection of the other.
If the shapes look identical but are in different places, one may be a translation of the other.

Students may confuse reflections and rotations depending on the object.

A reflection is the only transformation that changes the sense of the object, so check that first.

Transformation - A transformation is a process that may change the size, orientation or position of a shape.
Congruent - If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.
Invariant - A property of a shape is invariant if that property has not changed after the shape is transformed.